JEE Main202522 Jan 2025Evening ShiftPhysicsUnits and DimensionsActual
Which one of the following is the correct dimensional formula for the capacitance in F ? M , L , T and C stand for unit of mass, length, time and charge,
Options
- A[ F ]= [ C ^2 M ⁻¹ ~L ⁻² ~T ^2 ]
- B[ F ]= [ C ^2 M ⁻² ~L ^2 ~T ^2 ]
- C[ F ]= [ CM ⁻² ~L ⁻² ~T ⁻² ]
- D[ F ]= [ CM ⁻¹ ~L ⁻² ~T ^2 ]
Correct answer
A. [ F ]= [ C ^2 M ⁻¹ ~L ⁻² ~T ^2 ]
Step-by-step solution
aligned & Energy = Q^2 2 C & aligned [ F ] & = [ C ^2 ] [ ML ^2 ~T ⁻² ] & = [ C ^2 M ⁻¹ ~L ⁻² ~T ⁺² ] aligned aligned